# Algebra of errors

• Oct 21st 2010, 01:31 PM
a8281333
Algebra of errors
I am very sorry if this is in the incorrect section!

After measurements, the following values and their uncertainties were recorded:

x = 8.3 ± 0.1 and y = 2.72 ± 0.07

Find the following values of Z

a) Z = x + y

b) Z = x - y

c) Z = xy

d) Z = x/y

e) Z = y/[(x)^0.5] (this is y divided by the square root of x)

f) Z = exp(y)

g) Z = ln(x + y)

h) tan(x/y)

My attempts: a) 11.02 ± 0.17 ; b) 5.4 ± 0.2 ; c) 22.576 ± 0.007 ; d) 3.1 ± 1.4 ; e) 0.94 ± 0.22 ; f) exp(2.72 ± 0.07) ; g) ln(11.02 ± 0.17) ; h) tan(3.1 ± 1.4)

Any help would be appreciative, I'm a bit rusty, having not done any physics in two years, and apparently, my attempts are all incorrect!
• Oct 21st 2010, 02:10 PM
skeeter
most likely, you need to pay attention to the number of significant digits.
• Oct 21st 2010, 02:35 PM
a8281333
Apparently it's more fundamental than that and he wont help me (my friend), very competative for some sad reason
• Oct 21st 2010, 03:02 PM
skeeter